Rishikesh Yadav

  has   the 2025   “for his fundamental contributions to algebraic analysis and representation theory.” https://abelpriz...
26/03/2025

has the 2025 “for his fundamental contributions to algebraic analysis and representation theory.” https://abelprize.no/

In his early 20s, he established the theory of D-modules, a powerful framework for understanding systems of partial differential equations using methods from algebra and geometry. This work was foundational in establishing the burgeoning field of algebraic analysis. But it also had a surprising influence in representation theory, a branch of math that makes it easier to study important but abstract collections of symmetries.

Kashiwara continued to shape these fields throughout his career.

Read more about algebraic analysis: https://www.quantamagazine.org/groups-underpin-modern-math-heres-how-they-work-20240906/

Read more about representation theory:
https://www.quantamagazine.org/the-useless-perspective-that-transformed-mathematics-20200609/

Also see: https://abelprize.no/article/2025/japanese-mathematician-masaki-kashiwara-awarded-abel-prize-2025

What Is the Necessity of   in Neural Networks?  - the constant terms that are introduced to reduce errors in neural netw...
24/03/2025

What Is the Necessity of in Neural Networks?

- the constant terms that are introduced to reduce errors in neural networks.

Read the article in detail:
https://www.turing.com/kb/necessity-of-bias-in-neural-networks

Explore the role that neural network bias plays in deep learning and machine learning models and learn the ins and outs of how to add it to your own model.

Matlab Code-->🍀. Just paste the code!  🍀% Shamrocknleaf = 3; % Number of leavesT=linspace(0,2,nleaf*30+1); % Theta vecto...
17/03/2025

Matlab Code-->🍀. Just paste the code! 🍀

% Shamrock
nleaf = 3; % Number of leaves
T=linspace(0,2,nleaf*30+1); % Theta vector
nvr=50; % # Vertices along the radius
R=linspace(0,1,nvr); % Radius vector
% Draw a stem
ST=linspace(-.36,-.48,nvr);
plot(cospi(ST).*R*1.1,sinpi(ST).*R*1.1,'Color',' ','LineWidth',5);
% Leaf shaped wave applied across the radius.
S=R'.*rescale(1-(abs((1-mod(T*nleaf,2)))-1/3).^2,.2,1);
% Draw shamrock
surface(S.*cospi(T-.4),S.*sinpi(T-.4),S*0,repmat(R',1,numel(T)),...
'FaceColor','interp','EdgeColor','none');
m=zeros(nvr,3); m(:,2)=R;
colormap(gca,m);
% Decorate the Axes
axis equal off
set(gcf,'color','white');

: Matlab

📢   in Discrete Mathematics, Umeå University, SwedenDepartment of Mathematics and Mathematical Statistics, is offering a...
11/03/2025

📢 in Discrete Mathematics, Umeå University, Sweden

Department of Mathematics and Mathematical Statistics, is offering a postdoctoral scholarship within the project “Bounds for Pancake Sorting and Analysis of the Pancake Graph”

🗓 Application deadline: April 30

Details: https://umustipendie.varbi.com/en/what:job/jobID:806306/

̊universitet

📢   (Postdoc position), Umeå University, Sweden.Open position for a postdoctoral scholarship in mathematical modelling a...
11/03/2025

📢 (Postdoc position), Umeå University, Sweden.

Open position for a postdoctoral scholarship in mathematical modelling and transport analysis.

This scholarship is part of a research initiative to develop an activity-based transport model for the Umeå region. The project is conducted in collaboration between Umeå University and KTH Royal Institute of Technology and involves cooperation with municipal and regional stakeholders.

For more details, click on the given link: https://umustipendie.varbi.com/en/what:job/jobID:806497/

̊universitet

📢   (scholarship)Department of Mathematics and Mathematical Statistics, Umeå University,   is offering a postdoctoral sc...
17/02/2025

📢 (scholarship)

Department of Mathematics and Mathematical Statistics, Umeå University, is offering a postdoctoral scholarship within the project “Efficient computational methods for wave propagation”.

The scholarship is full-time for two years starting September 1st, or by agreement.

For details, click the following link: https://umustipendie.varbi.com/se/what:job/jobID:798954/

Apply by March 14, 2025.

      It's that time of year! Code your valentine a MATLAB 🌹n = 800;A = 1.995653;B = 1.27689;C = 8;r=linspace(0,1,n);the...
10/02/2025


It's that time of year! Code your valentine a MATLAB 🌹

n = 800;
A = 1.995653;
B = 1.27689;
C = 8;
r=linspace(0,1,n);
theta=linspace(-2,20*pi,n);
[R,THETA]=ndgrid(r,theta);
% define the number of petals we want per cycle. Roses have 3 and a bit.
petalNum=3.6;
x = 1 - (1/2)*((5/4)*(1 - mod(petalNum*THETA, 2*pi)/pi).^2 - 1/4).^2;
phi = (pi/2)*exp(-THETA/(C*pi));
y = A*(R.^2).*(B*R - 1).^2.*sin(phi);
R2 = x.*(R.*sin(phi) + y.*cos(phi));
X=R2.*sin(THETA);
Y=R2.*cos(THETA);
Z=x.*(R.*cos(phi)-y.*sin(phi));
% % define a red map for our rose colouring
red_map=linspace(1,0.25,10)';
red_map(:,2)=0;
red_map(:,3)=0;
clf
surf(X,Y,Z,'LineStyle','none')
view([-40.50 42.00])
colormap(red_map)

courtesy!

📢   Now Open:  The IMU Breakout Graduate Fellowship Program, established in 2016 through the generosity of the Breakthro...
24/01/2025

📢 Now Open:

The IMU Breakout Graduate Fellowship Program, established in 2016 through the generosity of the Breakthrough Prize in Mathematics winners, provides full funding for exceptional postgraduate students from developing countries to pursue a Ph.D. in the mathematical sciences.

Eligibility:
Nominees must be citizens, residents, and conduct their studies in countries listed as Developing Countries by the IMU.

🔔 Nominations : May 31, 2025
Professional mathematicians are invited to nominate highly motivated students who meet the program’s criteria.

For detailed information and application guidelines, visit: https://www.mathunion.org/cdc/scholarships/graduate-scholarships/imu-breakout-graduate-fellowship-program

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